Solve Basic Multiplication: Find the Product of 8×2

Q: Why is 8 × 2 the same as 2 × 8?

This is called the commutative property of multiplication. It means you can multiply numbers in any order and get the same result. 8 × 2 = 16 and 2 × 8 = 16!

Q: How can I remember what 8 × 2 equals?

Think of it as doubling 8 or adding 8 twice: 8 + 8 = 16. You can also skip count by 2s: 2, 4, 6, 8, 10, 12, 14, 16!

Q: What does the dot symbol mean in math?

The dot symbol $ \cdot $ means multiplication, just like the × symbol. So $ 8 \cdot 2 $ means the same thing as 8 × 2.

Q: What if I get confused between multiplication and addition?

Remember: multiplication makes numbers bigger faster! Adding gives 8 + 2 = 10, but multiplying gives 8 × 2 = 16. Multiplication is like repeated addition.

Basic Multiplication with Single-Digit Factors

Complete the following exercise:

$8\cdot2=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Positive times positive is always positive

00:10 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following exercise:

$8\cdot2=$

Step-by-step solution

Let's recall the law:

$(+x)\times(+x)=+x$

Therefore, the sign of the exercise result will be positive:

$+8\times+2=+16$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply the numerical values and determine the sign
Technique: Positive times positive equals positive: $8 \times 2 = 16$
Check: Count by 2s eight times: 2, 4, 6, 8, 10, 12, 14, 16 ✓

Common Mistakes

Avoid these frequent errors

Confusing multiplication with addition
Don't add the numbers instead of multiplying: 8 + 2 = 10! This gives a much smaller result than expected. Always remember that multiplication means repeated addition: 8 × 2 means adding 8 two times or adding 2 eight times.

Practice Quiz

Test your knowledge with interactive questions

Convert $\frac{7}{2}$ into its reciprocal form:

FAQ

Everything you need to know about this question

Why is 8 × 2 the same as 2 × 8?

This is called the commutative property of multiplication. It means you can multiply numbers in any order and get the same result. 8 × 2 = 16 and 2 × 8 = 16!

How can I remember what 8 × 2 equals?

Think of it as doubling 8 or adding 8 twice: 8 + 8 = 16. You can also skip count by 2s: 2, 4, 6, 8, 10, 12, 14, 16!

What does the dot symbol mean in math?

The dot symbol $\cdot$ means multiplication, just like the × symbol. So $8 \cdot 2$ means the same thing as 8 × 2.

Why do we need to worry about positive and negative signs?

Even in basic problems, understanding signs helps build good habits! Positive times positive always equals positive, which is why $+8 \times +2 = +16$ .

What if I get confused between multiplication and addition?

Remember: multiplication makes numbers bigger faster! Adding gives 8 + 2 = 10, but multiplying gives 8 × 2 = 16. Multiplication is like repeated addition.

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